Question

0rdoneaza crescator fractiile 4pe3,1pe2,3pe4,7pe6,3pe5

Answer 1

[tex]\dfrac{4}{3} $ $\square $ $\dfrac{1}{2} $ $\square $ $\dfrac{3}{4} $ $\square $ $\dfrac{7}{6} $ $\square $ $\dfrac{3}{5} \\ \\ \left\{ \begin{array}{ll} 3=3 \\ 2=2 \\ 4=2^2 \\ 6 = 2\cdot 3 \\ 5 =5 \end{array} \right | \Rightarrow $ cmmmc(3,2,4,6,5) $= 3\cdot 2^2\cdot 5 = 15\cdot 4 = 60 \\ \\ \\ \dfrac{20\cdot 4}{20\cdot 3} $ $\square $ $\dfrac{30\cdot 1}{30\cdot 2} $ $\square $ $\dfrac{15\cdot 3}{15\cdot 4} $ $\square $ $\dfrac{10\cdot 7}{10\cdot 6} $ $\square $ $\dfrac{12\cdot 3}{12\cdot 5}\\ \\ [/tex]

$\\ \\ \begin{array}{ccccc}\dfrac{80}{60}&\dfrac{30}{60}&\dfrac{45}{60}&\dfrac{70}{60}&\dfrac{36}{60} \\ \\||&||&||&||&||\\ \\ \dfrac{4}{3}&\dfrac{1}{2}&\dfrac{3}{4}&\dfrac{7}{6}&\dfrac{3}{5} \end{array}\right \leftrightarrow \begin{array}{ccccc}\dfrac{30}{60}&\dfrac{36}{60}&\dfrac{45}{60}&\dfrac{70}{60}&\dfrac{80}{60} \\ \\||&||&||&||&||\\ \\ \dfrac{1}{2}&\dfrac{3}{5}&\dfrac{3}{4}&\dfrac{7}{6}&\dfrac{4}{3} \end{array}\right$

$\Rightarrow \dfrac{1}{2}\ \textless \ \dfrac{3}{5}\ \textless \ \dfrac{3}{4}\ \textless \ \dfrac{7}{6}\ \textless \ \dfrac{4}{3}$

Answer 2

4/3,  1/2,  3/4, 7/6,  3/5 
Pentru a ordona crescator fractiile date, la aducem la acelasi numitor!
3=1 ×3
2=1×2
4=2²
6=2×3
5=1×5

→ cmmmc al numerelor (3, 2, 4, 6, 5) = 2²×3×5= 60

→amplificam fractiile, aducandu-le la numitorul comun 60

4/3 = (4×20) /3×20) = 80/60;
1/2 = ( 1×30)/2×30) = 30/60
3/4 = ( 3×15) /4×15) = 45/60
7/6 = (7×10)/(6×10) = 70/60
3/5 = (3×12)/(5×12) = 36/60

30/60  < 36/60 < 45/60 < 70/60 < 80/60
  ↓              ↓            ↓           ↓           ↓
1/2      <    3/5  <    3/4   <   7/6  <   4/3